Question Text
Question 1 :
Solve:<br/>$\displaystyle \dfrac {x^{a(b - c)}}{x^{b(a - c)}} \div (\dfrac {x^b}{x^a})^c = $.
Question 2 :
Simplify :$\displaystyle \left[ \left( \frac{1}{6} \right)^{-2} - \left(\frac{1}{2} \right)^{-3} \right]\div \left(\frac{1}{3} \right)^{-2}$---
Question 3 :
Exponential form of$\displaystyle \left ( -3 \right )\times \left ( -3 \right )\times \left ( -3 \right )$ is
Question 8 :
If x =2, y = 3 then $\displaystyle \frac {1}{x^y}\, +\,\displaystyle \frac {1}{y^x}$ = .........
Question 9 :
State true or false: $\displaystyle \left ( \frac{-7}{9} \right )^{2} \div \frac{49}{81} = - 1$
Question 10 :
State true or false<br/>$\displaystyle (8x^3 \div 125y^3)^{\frac {2}{3}}$, then answer is $\displaystyle \frac {4x^2}{25y^2}$<br/>
Question 12 :
The value of $x$ , when $(256)^{-(4-x)} =2^{-20} $ is :
Question 19 :
If $(ab^{-1})^{2x - 1} = (ba^{-1})^{x - 2}$, then what is the value of x?
Question 21 :
Compare the size of a pen tip which is $0.000005$ m to that of the width of pen which is $ 0.0000249$ m.
Question 24 :
If $2^{x + 3} \cdot 4^{2x - 5} = 2^{3x - 7}$, then the value of $x$ is